What is the Greatest Common Factor of 11685 and 11700?

Greatest common factor (GCF) of 11685 and 11700 is 15.

GCF(11685,11700) = 15

We will now calculate the prime factors of 11685 and 11700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11685 and 11700.

How to find the GCF of 11685 and 11700?

We will first find the prime factorization of 11685 and 11700. After we will calculate the factors of 11685 and 11700 and find the biggest common factor number .

Step-1: Prime Factorization of 11685

Prime factors of 11685 are 3, 5, 19, 41. Prime factorization of 11685 in exponential form is:

11685 = 3¹ × 5¹ × 19¹ × 41¹

Step-2: Prime Factorization of 11700

Prime factors of 11700 are 2, 3, 5, 13. Prime factorization of 11700 in exponential form is:

11700 = 2² × 3² × 5² × 13¹

Step-3: Factors of 11685

List of positive integer factors of 11685 that divides 11685 without a remainder.

1, 3, 5, 15, 19, 41, 57, 95, 123, 205, 285, 615, 779, 2337, 3895

Step-4: Factors of 11700

List of positive integer factors of 11700 that divides 11685 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 25, 26, 30, 36, 39, 45, 50, 52, 60, 65, 75, 78, 90, 100, 117, 130, 150, 156, 180, 195, 225, 234, 260, 300, 325, 390, 450, 468, 585, 650, 780, 900, 975, 1170, 1300, 1950, 2340, 2925, 3900, 5850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11685 and 11700. The biggest common factor number is the GCF number.
So the greatest common factor 11685 and 11700 is 15.

Also check out the Least Common Multiple of 11685 and 11700